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Finding the Third Proportional to 188,356 and 284,454

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Solution

The third proportional to 188,356 and 284,454 is: 429,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,356 : 284,454 = 284,454 : x
  2. Step 2: Convert to fraction form
    188,356/284,454 = 284,454/x
  3. Step 3: Cross multiply
    188,356x = 284,454 × 284,454
  4. Step 4: Simplify right side
    188,356x = 80,914,078,116
  5. Step 5: Solve for x
    x = 80,914,078,116/188,356
  6. Step 6: Final answer
    x = 429,580.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.